56953968716736 has 1120 divisors, whose sum is σ = 210301284695040. Its totient is φ = 14840173264896.

The previous prime is 56953968716731. The next prime is 56953968716761. The reversal of 56953968716736 is 63761786935965.

56953968716736 is a `hidden beast` number, since 5 + 6 + 9 + 539 + 6 + 8 + 7 + 1 + 6 + 73 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (81).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56953968716731) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 18497552445 + ... + 18497555523.

It is an arithmetic number, because the mean of its divisors is an integer number (187769004192).

Almost surely, 2^{56953968716736} is an apocalyptic number.

56953968716736 is a gapful number since it is divisible by the number (56) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 56953968716736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (105150642347520).

56953968716736 is an abundant number, since it is smaller than the sum of its proper divisors (153347315978304).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

56953968716736 is a wasteful number, since it uses less digits than its factorization.

56953968716736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3583 (or 3564 counting only the distinct ones).

The product of its digits is 9258883200, while the sum is 81.

The spelling of 56953968716736 in words is "fifty-six trillion, nine hundred fifty-three billion, nine hundred sixty-eight million, seven hundred sixteen thousand, seven hundred thirty-six".